17-2n=3(n-1)

Solution for 17-2n=3(n-1) equation:

Simplifying
17 + -2n = 3(n + -1)

Reorder the terms:
17 + -2n = 3(-1 + n)
17 + -2n = (-1 * 3 + n * 3)
17 + -2n = (-3 + 3n)

Solving
17 + -2n = -3 + 3n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-3n' to each side of the equation.
17 + -2n + -3n = -3 + 3n + -3n

Combine like terms: -2n + -3n = -5n
17 + -5n = -3 + 3n + -3n

Combine like terms: 3n + -3n = 0
17 + -5n = -3 + 0
17 + -5n = -3

Add '-17' to each side of the equation.
17 + -17 + -5n = -3 + -17

Combine like terms: 17 + -17 = 0
0 + -5n = -3 + -17
-5n = -3 + -17

Combine like terms: -3 + -17 = -20
-5n = -20

Divide each side by '-5'.
n = 4

Simplifying
n = 4